A WELL-BEHAVED TVD LIMITER FOR HIGH-RESOLUTION CALCULATIONS OF UNSTEADY-FLOW

A total variation diminishing (TVD) limiter is proposed that attempts to maximize performance given that the inherent limitation of ND formu lations is peak loss. For the scalar advection and Burg er's equation, the present results are qualitatively superior to those using the har monic and superbee limiters, balancing well the competing effects of s kewing, smearing, and squaring. In the case of the Euler equations, th e current results appear to significantly improve upon previous TVD re sults and are quite comparable with more elaborate algorithms. (C) 199 7 Academic Press.